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Finding the Third Proportional to 712,188 and 1,647,301

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Solution

The third proportional to 712,188 and 1,647,301 is: 3,810,230.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,188 : 1,647,301 = 1,647,301 : x
  2. Step 2: Convert to fraction form
    712,188/1,647,301 = 1,647,301/x
  3. Step 3: Cross multiply
    712,188x = 1,647,301 × 1,647,301
  4. Step 4: Simplify right side
    712,188x = 2,713,600,584,601
  5. Step 5: Solve for x
    x = 2,713,600,584,601/712,188
  6. Step 6: Final answer
    x = 3,810,230.70

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.